Congruent Triangles

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the AAS congruence criterion?

Back

The AAS (Angle-Angle-Side) criterion states that if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle, the triangles are congruent.

Front

What is the SAS congruence criterion?

Back

The SAS (Side-Angle-Side) criterion states that if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle, the triangles are congruent.

Front

What is the significance of corresponding angles in congruent triangles?

Back

In congruent triangles, all corresponding angles are equal.

Front

If ∆ABC ≅ ∆DEF, what can we say about the sides of these triangles?

Back

The corresponding sides of ∆ABC and ∆DEF are equal in length.

Front

What is the SSS congruence criterion?

Back

The SSS (Side-Side-Side) criterion states that if all three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

Front

How can you determine if two triangles are congruent using the HL theorem?

Back

The HL (Hypotenuse-Leg) theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

What is the relationship between the angles of a triangle and its sides?

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.